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प्रश्न
Study and complete the following pattern
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ?
11111 × 11111 = ?
उत्तर
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = 1234321
11111 × 11111 = 123454321
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संबंधित प्रश्न
Study and complete the following pattern
Find next three numbers in the following number pattern.
10, 20, 40, 80, ...
Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.
| Steps | Pattern 1 | Pattern 2 |
| i) | 1 + 3 = 4 | 5 − 1 = 4 |
| ii) | 1 + 3 + 8 = ___________ | ? |
| iii) | 1 + 3 + 8 + 21 = ____________ | ? |
| iv) | ? | ? |
Complete the following pattern.
What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC, ...
The difference between 6th term and 5th term in the Fibonacci sequence is
The 11th term in the Lucas sequence 1, 3, 4, 7, ... is
Complete the following pattern
1 + 3 + 5 + 7 = 16
`square` + 5 + 7 + 9 = 24
5 + 7 + 9 + `square` = `square`
7 + 9 + `square` + 13 = `square`
Complete the table by using the following instructions.
A: It is the 6th term in the Fibonacci sequence.
B: The predecessor of 2.
C: LCM of 2 and 3.
D: HCF of 6 and 20
E: The reciprocal of 1/5.
F: The opposite number of –7.
G: The first composite number.
H: Area of a square of side 3 cm.
I: The number of lines of symmetry of an equilateral triangle.
After completing the table, what do you observe? Discuss.
| A | B | C |
| D | E | F |
| G | H | I |
Observe the geometrical pattern and answer the following questions
i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it
